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Finding the Fourth Proportional to 647.73, 893.99 and 449.10

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Solution

The fourth proportional to 647.73, 893.99 and 449.10 is: 619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.73 : 893.99 = 449.10 : x
  2. Step 2: Convert to fraction form
    647.73/893.99 = 449.10/x
  3. Step 3: Cross multiply
    647.73x = 893.99 × 449.10
  4. Step 4: Simplify right side
    647.73x = 401,492.03
  5. Step 5: Solve for x
    x = 401,492.03/647.73
  6. Step 6: Final answer
    x = 619.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.